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Finding the Fourth Proportional to 2,677.50, 3,695 and 1,615.25

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Solution

The fourth proportional to 2,677.50, 3,695 and 1,615.25 is: 2,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.50 : 3,695 = 1,615.25 : x
  2. Step 2: Convert to fraction form
    2,677.50/3,695 = 1,615.25/x
  3. Step 3: Cross multiply
    2,677.50x = 3,695 × 1,615.25
  4. Step 4: Simplify right side
    2,677.50x = 5,968,348.75
  5. Step 5: Solve for x
    x = 5,968,348.75/2,677.50
  6. Step 6: Final answer
    x = 2,229.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.